Construction of units in integral group rings of finite nilpotent groups

DOI10.1090/S0273-0979-1989-15751-0zbMath0687.20005OpenAlexW1993533263MaRDI QIDQ4205622

Juergen Ritter, Sudarshan K. Sehgal

Publication date: 1989

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1989-15751-0

zbMATH Keywords

nilpotent groupunit groupBass cyclic unitsbicyclic unitsSchur indexsubgroup of finite indexrational group algebra

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Unnamed Item ⋮ Bass units as free factors in integral group rings of simple groups. ⋮ Integral group rings with Jordan decomposition ⋮ Construction of units in group rings of monomial and symmetric groups ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS ⋮ From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups

Cites Work

• Unnamed Item
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• Le problème des groupes de congruence pour \(SL_2\)
• THE STRUCTURE OF CLASSICAL ARITHMETIC GROUPS OF RANK GREATER THAN ONE
• ON THE GROUPSL₂OVER DEDEKIND RINGS OF ARITHMETIC TYPE